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Finding the Fourth Proportional to 310,911.90, 466,137.45 and 210,822.30

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Solution

The fourth proportional to 310,911.90, 466,137.45 and 210,822.30 is: 316,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,911.90 : 466,137.45 = 210,822.30 : x
  2. Step 2: Convert to fraction form
    310,911.90/466,137.45 = 210,822.30/x
  3. Step 3: Cross multiply
    310,911.90x = 466,137.45 × 210,822.30
  4. Step 4: Simplify right side
    310,911.90x = 98,272,169,325.14
  5. Step 5: Solve for x
    x = 98,272,169,325.14/310,911.90
  6. Step 6: Final answer
    x = 316,077.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.